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GI
2009
Springer
13 years 9 months ago
Reasoning about Contextual Equivalence: From Untyped to Polymorphically Typed Calculi
: This paper describes a syntactical method for contextual equivalence in polymorphically typed lambda-calculi. Our specific calculus has letrec as cyclic let, data constructors, ...
David Sabel, Manfred Schmidt-Schauß, Frederi...
POPL
2006
ACM
14 years 5 months ago
Small bisimulations for reasoning about higher-order imperative programs
We introduce a new notion of bisimulation for showing contextual equivalence of expressions in an untyped lambda-calculus with an explicit store, and in which all expressed values...
Vasileios Koutavas, Mitchell Wand
LICS
2012
IEEE
11 years 7 months ago
Step Indexed Realizability Semantics for a Call-by-Value Language Based on Basic Combinatorial Objects
—We propose a mathematical framework for step indexed realizability semantics of a call-by-value polymorphic lambda calculus with recursion, existential types and recursive types...
Naohiko Hoshino
LICS
2010
IEEE
13 years 3 months ago
A Generic Operational Metatheory for Algebraic Effects
—We provide a syntactic analysis of contextual preorder and equivalence for a polymorphic programming language with effects. Our approach applies uniformly across a range of alge...
Patricia Johann, Alex Simpson, Janis Voigtlän...
CSL
2007
Springer
13 years 11 months ago
Typed Normal Form Bisimulation
Normal form bisimulation is a powerful theory of program equivalence, originally developed to characterize L´evy-Longo tree equivalence and Boehm tree equivalence. It has been ada...
Søren B. Lassen, Paul Blain Levy